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Exchange matrix

In mathematics, especially linear algebra, the exchange matrices (also called the reversal matrix, backward identity, or standard involutory permutation) are special cases of permutation matrices, where the 1 elements reside on the antidiagonal and all other elements are zero. In other words, they are 'row-reversed' or 'column-reversed' versions of the…

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Exchange matrix

Nodes24
Edges23
Triples19
Avg. degree1.92
Density0.083333
Components1

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Exchange matrix

Top relations

related to Properties · 9
Exchange matrix → As, Exchange, For, I-, In, Jn, Postmultiplying, Premultiplying, The
related to Relationships · 7
Exchange matrix → AJ, An, Any, Bisymmetric, JA, JAT, Symmetric
is a · 1
Exchange matrix → simplest anti-diagonal matrix.Any matrix A satisfying the condition AJ
related to Definition · 1
Exchange matrix → If
see also · 1
Exchange matrix → Pauli

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Important terminology

matrix displaystyle exchange begin end matrices jn cases even odd elements pmatrix identity also permutation -1 condition aj called involutory

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SubjectPredicateObjectConfidenceSrc
Exchange matrixis asimplest anti-diagonal matrix.Any matrix A satisfying the condition AJ0.90text
Exchange matrixrelated to DefinitionIf0.60section
Exchange matrixrelated to PropertiesPremultiplying0.60section
Exchange matrixrelated to PropertiesPostmultiplying0.60section
Exchange matrixrelated to PropertiesExchange0.60section
Exchange matrixrelated to PropertiesFor0.60section
Exchange matrixrelated to PropertiesIn0.60section
Exchange matrixrelated to PropertiesJn0.60section
Exchange matrixrelated to PropertiesThe0.60section
Exchange matrixrelated to PropertiesAs0.60section
Exchange matrixrelated to PropertiesI-0.60section
Exchange matrixrelated to RelationshipsAn0.60section

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